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Finding the Fourth Proportional to 822.29, 1,232.79 and 411.22

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Solution

The fourth proportional to 822.29, 1,232.79 and 411.22 is: 616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.29 : 1,232.79 = 411.22 : x
  2. Step 2: Convert to fraction form
    822.29/1,232.79 = 411.22/x
  3. Step 3: Cross multiply
    822.29x = 1,232.79 × 411.22
  4. Step 4: Simplify right side
    822.29x = 506,947.90
  5. Step 5: Solve for x
    x = 506,947.90/822.29
  6. Step 6: Final answer
    x = 616.51

Related Problems

Find fourth proportional to 411.15, 616.40 and 205.61
Half scale
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Double scale
Find fourth proportional to 823.29, 1,234.29 and 412.22
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.